Substitution Method Practice
Practice solving systems of linear equations using the substitution method for Grade 11 math.
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Substitution Method Practice
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Solve each system of equations using the substitution method. Show all your work clearly.
1. Solve the following system of equations:
Equation 1: y = 2x + 1
Equation 2: 3x + y = 11
2. Find the solution to the system:
Equation 1: x - 4y = -2
Equation 2: 3x + 2y = 10
3. When using the substitution method, the first step is to isolate one in one of the equations.
4. After substituting, you will have an equation with only one , which you can then solve.
5. The final answer to a system of two linear equations is an pair (x, y).
6. Which of the following systems would be easiest to solve using the substitution method?
2x + 3y = 7 4x - y = 1
x = 5y - 2 3x + 2y = 8
x + y = 10 x - y = 2
2x + 5y = 12 3x - 4y = 1
7. A rectangular garden has a perimeter of 50 meters. The length of the garden is 5 meters more than twice its width. Find the length and width of the garden.
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